Error Analysis of the Nonconforming P₁ Finite Element Method to the Sequential Regularization Formulation for Unsteady Navier-Stokes Equations

In this paper we investigate the nonconforming P 1 finite element approximation to the sequential regularization method for unsteady Navier-Stokes equations. We provide error estimates for a full discretization scheme. Typically, conforming P 1 finite element methods lead to error bounds that depend inversely on the penalty parameter . We obtain an -uniform error bound by utilizing the nonconforming P 1 finite element method in this paper. Numerical examples are given to verify theoretical results.